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Finding the Fourth Proportional to 1,366.41, 2,049.26 and 392.29

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Solution

The fourth proportional to 1,366.41, 2,049.26 and 392.29 is: 588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.41 : 2,049.26 = 392.29 : x
  2. Step 2: Convert to fraction form
    1,366.41/2,049.26 = 392.29/x
  3. Step 3: Cross multiply
    1,366.41x = 2,049.26 × 392.29
  4. Step 4: Simplify right side
    1,366.41x = 803,904.21
  5. Step 5: Solve for x
    x = 803,904.21/1,366.41
  6. Step 6: Final answer
    x = 588.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.